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Simplifying 9x2 + -24x3 + 16x2 = 0 Reorder the terms: 9x2 + 16x2 + -24x3 = 0 Combine like terms: 9x2 + 16x2 = 25x2 25x2 + -24x3 = 0 Solving 25x2 + -24x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(25 + -24x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(25 + -24x)' equal to zero and attempt to solve: Simplifying 25 + -24x = 0 Solving 25 + -24x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -24x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -24x = 0 + -25 -24x = 0 + -25 Combine like terms: 0 + -25 = -25 -24x = -25 Divide each side by '-24'. x = 1.041666667 Simplifying x = 1.041666667Solution
x = {0, 1.041666667}
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